Fix64.cshr: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/typed/fix64.bend as Fix64
Lines 208-216 of bend-collections-laws-math@1.0.0.0/proofs/math/typed/fix64.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/fix64.bend&start_line=208&end_line=216

import Base
import bend-collections-laws-math@1.0.0.0/spec/lib/common.bend as C
import bend-collections-laws-math@1.0.0.0/spec/math/generic.bend as SG
import bend-collections-laws-math@1.0.0.0/spec/math/fixed.bend as SF
import bend-collections-laws-math@1.0.0.0/src/math/w64.bend as X
import bend-collections-laws-math@1.0.0.0/src/math/u64.bend as WU
import bend-collections-laws-math@1.0.0.0/src/math/fixed.bend as F
import bend-collections-laws-math@1.0.0.0/proofs/math/typed/w64sh.bend as SH
import bend-collections-laws-math@1.0.0.0/proofs/math/typed/fixgen.bend as G

def cshr(+a: WU.U64, +s: U32, +ok: Bool, +hok: {Nat.is_lt(vs(s), 64n) == ok : Bool}) -> {SF.mval(~WU.U64, ~SG.u64_val, F.opt(WU.U64, Bool.not(U32.is_lt(s, 64)), X.shr(a, U32.to_nat(U32.and(s, 63))))) == SF.keep(ok, C.high(vs(s), SG.u64_val(a))) : Maybe<&2, Nat>}:
  match ok:
    case True{}:
      +hb = Equal.trans(Bool, U32.is_lt(s, 64), Nat.is_lt(vs(s), 64n), ok, lt64(s), hok)
      +ev = Equal.trans(Nat, SG.u64_val(X.shr(a, U32.to_nat(U32.and(s, 63)))), SG.u64_val(X.shr(a, vs(s))), C.high(vs(s), SG.u64_val(a)), Equal.cong(Nat, Nat, t => SG.u64_val(X.shr(a, t)), U32.to_nat(U32.and(s, 63)), vs(s), am_small(s, hok)), SH.shr_value(a, vs(s)))
      G.some_of(~WU.U64, ~SG.u64_val, Bool.not(U32.is_lt(s, 64)), G.bnot_eq(U32.is_lt(s, 64), True{}, hb), X.shr(a, U32.to_nat(U32.and(s, 63))), C.high(vs(s), SG.u64_val(a)), ev)
    case False{}:
      +hb = Equal.trans(Bool, U32.is_lt(s, 64), Nat.is_lt(vs(s), 64n), ok, lt64(s), hok)
      G.none_of(~WU.U64, ~SG.u64_val, Bool.not(U32.is_lt(s, 64)), G.bnot_eq(U32.is_lt(s, 64), False{}, hb), X.shr(a, U32.to_nat(U32.and(s, 63))))

Uses (25):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.not
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.and
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/fix64.bend&name=am_small
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/fix64.bend&name=lt64
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/fix64.bend&name=vs
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/fixgen.bend&name=bnot_eq
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/fixgen.bend&name=none_of
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/fixgen.bend&name=some_of
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/w64sh.bend&name=shr_value
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/lib/common.bend&name=high
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/fixed.bend&name=keep
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/fixed.bend&name=mval
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/generic.bend&name=u64_val
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/fixed.bend&name=opt
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/u64.bend&name=U64
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/w64.bend&name=shr